Which of the following pairs of triangles could you use to justify that the SAS Congruence Theorem is true?(1 point)

Responses which option number is correct

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E G is congruent to side H J. Side E F is congruent to side H I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E G is congruent to side H J. Side E F is congruent to side H I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I.
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1 answer

To justify that the SAS (Side-Angle-Side) Congruence Theorem is true, you need one pair of sides that are congruent, the angle between those sides that is congruent, and another pair of sides that is congruent.

Looking at the descriptions of the triangles provided, the correct option that fulfills these criteria is:

Option 1: Side E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.

However, upon closer assessment, I realize that this option does not satisfy the SAS condition because it requires the angle between the two sides to be congruent rather than both angles being congruent.

In this case, it looks like none of the options provided fulfills the SAS requirement correctly.

Please double-check the options or describe any additional information or angles provided in the illustrations.

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